{"id":950,"date":"2024-04-29T04:32:28","date_gmt":"2024-04-28T21:32:28","guid":{"rendered":"http:\/\/www.tneutron.net\/elektro\/?p=950"},"modified":"2024-04-24T07:54:23","modified_gmt":"2024-04-24T00:54:23","slug":"theory-of-superposition","status":"publish","type":"post","link":"https:\/\/www.tneutron.net\/elektro\/theory-of-superposition\/","title":{"rendered":"Theory of Superposition"},"content":{"rendered":"<p><span class=\"notranslate\">A linear network can consist of passive resistive element with two or more sources direct voltage.<\/span> <span class=\"notranslate\"> To analyze the circuit or network like this, it can be used the theory of superposition.<\/span> <span class=\"notranslate\"> In principle this theory utilizing a linear relationship between current and voltage.<\/span> <span class=\"notranslate\"> According to this theory, if there is a voltage source to work together in any linear network.<\/span> <span class=\"notranslate\"> Then any voltage source to work free of the influence of other voltage source.<\/span><\/p>\n<p><span class=\"notranslate\"> Considered other voltage source does not exist, then the current in each penghamtar is composed of several components of the flow, where each component, each generated by each source voltage is contained in the circuit.<\/span> <span class=\"notranslate\"> Similarly, the voltage on each conductor is the algebraic sum of voltages generated by each voltage source independently.<\/span><\/p>\n<p><span class=\"notranslate\"> <strong>Definition:<\/strong><\/span><br \/>\n<span class=\"notranslate\"> The current flowing in each branch of the circuit caused by a few pieces of voltage source contained in the circuit, is the algebraic sum of the currents in the branches, if the voltage source work independently.<\/span> <span class=\"notranslate\"> Each source voltage in the circuit considered to be working on their own, while the other voltage source can temporarily short circuited, then calculated the current flowing.<\/span> <span class=\"notranslate\"> The total current flowing in the branch is the algebraic sum of all the components of the current.<\/span><\/p>\n<p><span class=\"notranslate\"> <strong>Example 1:<\/strong><\/span><br \/>\n<span class=\"notranslate\"> Sebua given a series of combinations as shown below.<\/span> <span class=\"notranslate\"> The circuit consists of three resistors, and two voltage sources.<\/span> <span class=\"notranslate\"> Determine the current (I) flowing in the resistor R.<\/span><br \/>\n<a href=\"http:\/\/www.tneutron.net\/elektro\/wp-content\/uploads\/sites\/2\/2015\/10\/image52.png\"><img loading=\"lazy\" decoding=\"async\" title=\"image\" src=\"http:\/\/www.tneutron.net\/elektro\/wp-content\/uploads\/sites\/2\/2015\/10\/image_thumb54.png\" alt=\"image\" width=\"346\" height=\"209\" border=\"0\" \/><\/a><\/p>\n<p><span class=\"notranslate\"> <strong>Solution:<\/strong><\/span><br \/>\n<span class=\"notranslate\"> Step 1: Suber voltage U2 short circuited, as follows:<\/span><br \/>\n<a href=\"http:\/\/www.tneutron.net\/elektro\/wp-content\/uploads\/sites\/2\/2015\/10\/image58.png\"><img loading=\"lazy\" decoding=\"async\" title=\"image\" src=\"http:\/\/www.tneutron.net\/elektro\/wp-content\/uploads\/sites\/2\/2015\/10\/image_thumb60.png\" alt=\"image\" width=\"216\" height=\"193\" border=\"0\" \/><\/a><\/p>\n<p><span class=\"notranslate\"> Step 2: The source voltage U1 short circuited as follows:<\/span><br \/>\n<a href=\"http:\/\/www.tneutron.net\/elektro\/wp-content\/uploads\/sites\/2\/2015\/10\/image63.png\"><img loading=\"lazy\" decoding=\"async\" title=\"image\" src=\"http:\/\/www.tneutron.net\/elektro\/wp-content\/uploads\/sites\/2\/2015\/10\/image_thumb62.png\" alt=\"image\" width=\"253\" height=\"201\" border=\"0\" \/><\/a><\/p>\n<p><span class=\"notranslate\"> In step one voltage U2 short circuited, then the current on each branch circuit is calculated.<\/span> <span class=\"notranslate\"> In step one voltage U1 short circuited, then the current on each branch circuit is calculated.<\/span> <span class=\"notranslate\"> Then in the can:<\/span><br \/>\n<span class=\"notranslate\"> I1 = I1 (a) &#8211; I1 (b)<\/span><br \/>\n<span class=\"notranslate\"> I2 = I2 (a) &#8211; I2 (b)<\/span><br \/>\n<span class=\"notranslate\"> `I = I (a) &#8211; I (b)<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A linear network can consist of passive resistive element with two or more sources direct voltage. To analyze the circuit<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"colormag_page_container_layout":"default_layout","colormag_page_sidebar_layout":"default_layout","footnotes":""},"categories":[2232],"tags":[1272,1271,1264,1265,1266,1268,1267,1270,1273,1269,1263],"class_list":["post-950","post","type-post","status-publish","format-standard","hentry","category-english","tag-beam-theory-superposition","tag-quantum-theory-superposition","tag-superposition-theorem","tag-superposition-theorem-pdf","tag-superposition-theory-circuit","tag-superposition-theory-quantum-physics","tag-superposition-theory-wiki","tag-theory-of-superposition-geology","tag-theory-of-superposition-method","tag-theory-of-superposition-theorem","tag-theory-superposition"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.9 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Theory of Superposition - TN Elektro<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.tneutron.net\/elektro\/theory-of-superposition\/\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"Theory of Superposition - TN Elektro\" \/>\n<meta name=\"twitter:description\" content=\"A linear network can consist of passive resistive element with two or more sources direct voltage. 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